Abstract
The object of this paper is to study *-conformal η-Ricci solitons on α-cosymplectic manifolds. First, α-cosymplectic manifolds admitting *-conformal η-Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied. Further, α-cosymplectic manifolds admitting *-conformal η-Ricci solitons satisfying certain conditions on the M-projective curvature tensor are being considered and obtained several interesting results. Among others it is proved that a φ - M-projeectively semisymmetric α-cosymplectic manifold admitting a *-conformal η-Ricci soliton is an Einstein manifold. Finally, the existence of *-conformal η-Ricci soliton in an α-cosymplectic manifolds has been proved by a concrete example.
Highlights
In recent years, Ricci solitons and their generalizations are enjoying rapid growth by providing new techniques in understanding the geometry and topology of arbitrary Riemannian manifolds
Among others it is proved that a φ − M−projeectively semisymmetric α−cosymplectic manifold admitting a ∗−conformal η−Ricci soliton is an Einstein manifold
The existence of ∗−conformal η−Ricci soliton in an α−cosymplectic manifolds has been proved by a concrete example
Summary
Ricci solitons and their generalizations are enjoying rapid growth by providing new techniques in understanding the geometry and topology of arbitrary Riemannian manifolds. Α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied. Α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying certain conditions on the M−projective curvature tensor are being considered and obtained several interesting results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: International Journal of Analysis and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.